Document Type


Date of Award


Degree Name

Master of Science in Industrial Engineering - (M.S.)


Mechanical and Industrial Engineering

First Advisor

Xiuli Chao

Second Advisor

Layek Abdel-Malek

Third Advisor

Golgen Bengu


We study a single server queueing system with finite buffer, Poisson arrivals and exceptional service requirements for the first customer in each busy period. The system is studied as a Markov Chain and the limiting probability distributions are obtained. The explicit form sorution for the queue length distribution, blocking probability, waiting time distribution as well as the busy period are derived through the Laplace-Stieltjes transform method. These results are then applied to a tandem system with a finite buffer in front of the first station and no intermediate buffer between the two stations. Finally, similar results are obtained for the queueing system with batch poisson arrival processes.



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